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Finding the Fourth Proportional to 570.05, 787 and 360.41

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Solution

The fourth proportional to 570.05, 787 and 360.41 is: 497.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.05 : 787 = 360.41 : x
  2. Step 2: Convert to fraction form
    570.05/787 = 360.41/x
  3. Step 3: Cross multiply
    570.05x = 787 × 360.41
  4. Step 4: Simplify right side
    570.05x = 283,642.67
  5. Step 5: Solve for x
    x = 283,642.67/570.05
  6. Step 6: Final answer
    x = 497.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.